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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.07891 |
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| _version_ | 1866914749435871232 |
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| author | Hernández, Jordi |
| author_facet | Hernández, Jordi |
| contents | We prove that a general cubic in the Hassett divisor $\mathcal{C}_{14}$ of special cubic fourfolds of discriminant $14$ contains a non-minimal K3 surface of degree $10$ containing two skew $(-1)$-lines and contained in a smooth quadric hypersurface $Q^4\subseteq \mathbb{P}^5$, but not contained in any other (possibly of lower rank) quadric hypersurface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on special cubic fourfolds of discriminant 14 and non-minimal K3 surfaces of degree 10 Hernández, Jordi Algebraic Geometry We prove that a general cubic in the Hassett divisor $\mathcal{C}_{14}$ of special cubic fourfolds of discriminant $14$ contains a non-minimal K3 surface of degree $10$ containing two skew $(-1)$-lines and contained in a smooth quadric hypersurface $Q^4\subseteq \mathbb{P}^5$, but not contained in any other (possibly of lower rank) quadric hypersurface. |
| title | A note on special cubic fourfolds of discriminant 14 and non-minimal K3 surfaces of degree 10 |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.07891 |